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Finding the Fourth Proportional to 202,100,584.80, 302,584,006.80 and 196,431,880.80

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Solution

The fourth proportional to 202,100,584.80, 302,584,006.80 and 196,431,880.80 is: 294,096,850.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,100,584.80 : 302,584,006.80 = 196,431,880.80 : x
  2. Step 2: Convert to fraction form
    202,100,584.80/302,584,006.80 = 196,431,880.80/x
  3. Step 3: Cross multiply
    202,100,584.80x = 302,584,006.80 × 196,431,880.80
  4. Step 4: Simplify right side
    202,100,584.80x = 59,437,145,555,723,992
  5. Step 5: Solve for x
    x = 59,437,145,555,723,992/202,100,584.80
  6. Step 6: Final answer
    x = 294,096,850.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.